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Finding the Fourth Proportional to 106,650, 147,177 and 64,210.32

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Solution

The fourth proportional to 106,650, 147,177 and 64,210.32 is: 88,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,650 : 147,177 = 64,210.32 : x
  2. Step 2: Convert to fraction form
    106,650/147,177 = 64,210.32/x
  3. Step 3: Cross multiply
    106,650x = 147,177 × 64,210.32
  4. Step 4: Simplify right side
    106,650x = 9,450,282,266.64
  5. Step 5: Solve for x
    x = 9,450,282,266.64/106,650
  6. Step 6: Final answer
    x = 88,610.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.